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Finding the Fourth Proportional to 23,198.85, 32,013.90 and 12,850.29

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Solution

The fourth proportional to 23,198.85, 32,013.90 and 12,850.29 is: 17,733.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198.85 : 32,013.90 = 12,850.29 : x
  2. Step 2: Convert to fraction form
    23,198.85/32,013.90 = 12,850.29/x
  3. Step 3: Cross multiply
    23,198.85x = 32,013.90 × 12,850.29
  4. Step 4: Simplify right side
    23,198.85x = 411,387,899.03
  5. Step 5: Solve for x
    x = 411,387,899.03/23,198.85
  6. Step 6: Final answer
    x = 17,733.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.